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Finding the Fourth Proportional to 13,006.64, 19,513.54 and 4,242.08

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Solution

The fourth proportional to 13,006.64, 19,513.54 and 4,242.08 is: 6,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.64 : 19,513.54 = 4,242.08 : x
  2. Step 2: Convert to fraction form
    13,006.64/19,513.54 = 4,242.08/x
  3. Step 3: Cross multiply
    13,006.64x = 19,513.54 × 4,242.08
  4. Step 4: Simplify right side
    13,006.64x = 82,777,997.76
  5. Step 5: Solve for x
    x = 82,777,997.76/13,006.64
  6. Step 6: Final answer
    x = 6,364.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.